Suppose that the weight of male babies less than 2 months old is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 babies is selected. What is the probability that the average weight of the sample is less than 11.07 pounds?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

**Please explain how to do it****

1 answer

Z = (sample-mean)/SEm

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.